Solve 5cm*5cm*5cm=

$$5 cm \cdot 5 cm \cdot 5 cm =$$

Evaluate

$$125\left(cm\right)^{3}$$

Solution Steps

Multiply c and c to get c^{2}.

$$5c^{2}m\times 5m\times 5cm$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$5c^{3}m\times 5m\times 5m$$

Multiply m and m to get m^{2}.

$$5c^{3}m^{2}\times 5\times 5m$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$5c^{3}m^{3}\times 5\times 5$$

Multiply 5 and 5 to get 25.

$$25c^{3}m^{3}\times 5$$

Multiply 25 and 5 to get 125.

$$125c^{3}m^{3}$$

Differentiate w.r.t. c

$$375c^{2}m^{3}$$